218007081825 has 48 divisors (see below), whose sum is σ = 405041159040. Its totient is φ = 102660180480.

The previous prime is 218007081821. The next prime is 218007081857. The reversal of 218007081825 is 528180700812.

It is not a de Polignac number, because 218007081825 - 2² = 218007081821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (218007081821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4838380 + ... + 4883229.

It is an arithmetic number, because the mean of its divisors is an integer number (8438357480).

Almost surely, 2^218007081825 is an apocalyptic number.

218007081825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

218007081825 is a deficient number, since it is larger than the sum of its proper divisors (187034077215).

218007081825 is a wasteful number, since it uses less digits than its factorization.

218007081825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9721658 (or 9721653 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 42.

The spelling of 218007081825 in words is "two hundred eighteen billion, seven million, eighty-one thousand, eight hundred twenty-five".